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Finding the Fourth Proportional to 299,093.24, 412,737.18 and 164,957.24

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Solution

The fourth proportional to 299,093.24, 412,737.18 and 164,957.24 is: 227,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,093.24 : 412,737.18 = 164,957.24 : x
  2. Step 2: Convert to fraction form
    299,093.24/412,737.18 = 164,957.24/x
  3. Step 3: Cross multiply
    299,093.24x = 412,737.18 × 164,957.24
  4. Step 4: Simplify right side
    299,093.24x = 68,083,986,058.18
  5. Step 5: Solve for x
    x = 68,083,986,058.18/299,093.24
  6. Step 6: Final answer
    x = 227,634.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.